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55005005979 = 32711175638293
BaseRepresentation
bin110011001110100011…
…011100100010011011
312020222101121211002200
4303032203130202123
51400122240142404
641134032101243
73655034556630
oct631643344233
9166871554080
1055005005979
112136698a130
12a7b1094823
135257962021
14293b336187
15166de89839
hexcce8dc89b

55005005979 has 96 divisors (see below), whose sum is σ = 105082458624. Its totient is φ = 26842199040.

The previous prime is 55005005959. The next prime is 55005005989. The reversal of 55005005979 is 97950050055.

55005005979 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 50 + 0 + 597 + 9 = 666.

It is not a de Polignac number, because 55005005979 - 28 = 55005005723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55005005959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6628557 + ... + 6636849.

It is an arithmetic number, because the mean of its divisors is an integer number (1094608944).

Almost surely, 255005005979 is an apocalyptic number.

55005005979 is a deficient number, since it is larger than the sum of its proper divisors (50077452645).

55005005979 is a wasteful number, since it uses less digits than its factorization.

55005005979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 354375, while the sum is 45.

The spelling of 55005005979 in words is "fifty-five billion, five million, five thousand, nine hundred seventy-nine".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 563 693 1071 1309 1683 1689 3927 3941 5067 6193 8293 9571 11781 11823 18579 24879 28713 35469 43351 55737 58051 66997 74637 86139 91223 105281 130053 140981 174153 200991 273669 315843 390159 422943 522459 602973 638561 736967 821007 947529 986867 1268829 1550791 1915683 2210901 2960601 4652373 4668959 5747049 6632703 8881803 10855537 13957119 14006877 32566611 32682713 42020631 51358549 79372303 97699833 98048139 154075647 238116909 294144417 359509843 462226941 555606121 714350727 873095333 1078529529 1666818363 2619285999 3235588587 5000455089 6111667331 7857857997 18335001993 55005005979